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D.16.1.2 homogeneitySpace

Syntax:
homogeneitySpace( poly g )
homogeneitySpace( ideal I )
Type:
cone
Purpose:
the linear space of all weight vectors with respect to whom a polynomial g or an ideal I is weighted homogeneous.
Example:
 
LIB "gfanlib.so";
ring r = 0,(x,y,z),dp;
poly g = x+y;
cone homogSpace = homogeneitySpace(g);
rays(homogSpace);
==> 
generatorsOfLinealitySpace(homogSpace);
==> -1,-1, 0,
==>  0, 0,-1

ideal I = x+y, y+z;
homogSpace = homogeneitySpace(I);
rays(homogSpace);
==> 
generatorsOfLinealitySpace(homogSpace);
==> -1,-1,-1